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Finding the Fourth Proportional to 299.13, 412.61 and 194.05

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Solution

The fourth proportional to 299.13, 412.61 and 194.05 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.13 : 412.61 = 194.05 : x
  2. Step 2: Convert to fraction form
    299.13/412.61 = 194.05/x
  3. Step 3: Cross multiply
    299.13x = 412.61 × 194.05
  4. Step 4: Simplify right side
    299.13x = 80,064.91
  5. Step 5: Solve for x
    x = 80,064.91/299.13
  6. Step 6: Final answer
    x = 267.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.